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3 years ago

Use the Parabola tool to graph the quadratic function. f(x) = 2x2 + 16x + 31

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

I used a app, I also assumed that the “2x2” of the equation meant 2x^2

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Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of

umka21 [38]

Figure 4 is the image of the square LMNP after the translation.

<u>Step-by-step explanation:</u>

Let us see the coordinates of the pre image LMNP as,

L (-3,1)

M(-1,1)

N(-1,-1)

P(-3,-1)

after translation of (x,y) → (x+5, y -3) the coordinates of the image obtained as,

L'(2,-2)

M'(4,-2)

N'(4,-4)

P'(2,-4) which matches the image 4.

8 0

3 years ago

Read 2 more answers

Write an equation of the line graphed below.

Bad White [126]

Answer:

y=1/2x+3

Step-by-step explanation:

So the slope formula is y=mx+b. Where mx is the slope and b is the y-intercept. In this case our slope is 1/2 because we rise by one unit and run by 2 units. The y-intercept in this case is 3 because on the y axis the line intersects over 3.

Hopefully that helped :).

3 0

2 years ago

A ladder is leaning against

Svetradugi [14.3K]

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

5 0

2 years ago

The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47,

sattari [20]

Answer:

Step-by-step explanation:

5 0

2 years ago

Solving systems of Equations Word Problems - CLASSWORK

dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

$y=10x+20$

For x=7 hours

substitute

$y=10(7)+20=90$

The cost is $90

4 0

3 years ago